XX. Properties of slow electrons in polar materials
- 1 March 1950
- journal article
- research article
- Published by Taylor & Francis in Journal of Computers in Education
- Vol. 41 (314) , 221-242
- https://doi.org/10.1080/14786445008521794
Abstract
Using a variational method we have investigated the properties of the lowest energy levels in a range ħω above the ground level of the system consisting of an electron and a continuous dielectric medium. The latter is supposed to have a single vibrational frequency ω/2π for long longitudinal polarization waves. The interaction between the electron and the medium then depends on three parameters, the static dielectric constante, ∈ the optical refractive index , and ω. The replacement of a crystalline lattice by a continuum is a good approximation if the length b= (ħ/2mω)1/2 is large compared with the lattice distance, a condition which is usually fulfilled.Keywords
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